There are 8 sandwiches and x drinks to choose from for lunch.Pat says there are 96 different ways to choose a sandwich and a drink.Could Pat be correct?You must show your working.
Question
There are 8 sandwiches and x drinks to choose from for lunch.Pat says there are 96 different ways to choose a sandwich and a drink.Could Pat be correct?You must show your working.
Solution
Yes, Pat could be correct. Here's why:
The total number of ways to choose a sandwich and a drink is given by the product of the number of choices for each. In this case, that's 8 (the number of sandwiches) times x (the number of drinks).
So, we have 8 * x = 96.
To find out the value of x (the number of drinks), we can divide both sides of the equation by 8:
x = 96 / 8 x = 12
So, if there are 12 drinks to choose from, then there would indeed be 96 different ways to choose a sandwich and a drink.
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